A note on the structure of two subsets of the parameter space in adaptive control problems.

Jan W. Polderman

doi:10.1016/0167-6911(86)90097-6

A note on the structure of two subsets of the parameter space in adaptive control problems.

Jan W. Polderman

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

We study the geometric structure of two subsets of the parameter space that are of interest in the context of adaptive LQ-control. The first set can be considered as the set of possible limit points of an adaptive control algorithm, whereas the second can be seen as the set of desirable limit points. Our main result is that these sets are $C^\omega$-manifolds.

Original language	Undefined
Pages (from-to)	25-34
Number of pages	10
Journal	Systems and control letters
Volume	7
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(86)90097-6
Publication status	Published - Feb 1986

Keywords

IR-70384
$C^\omega$-manifold
Adaptive LQ control
EWI-16584
MSC-93C40

Access to Document

10.1016/0167-6911(86)90097-6

Cite this

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title = "A note on the structure of two subsets of the parameter space in adaptive control problems.",

abstract = "We study the geometric structure of two subsets of the parameter space that are of interest in the context of adaptive LQ-control. The first set can be considered as the set of possible limit points of an adaptive control algorithm, whereas the second can be seen as the set of desirable limit points. Our main result is that these sets are $C^\omega$-manifolds.",

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AU - Polderman, Jan W.

PY - 1986/2

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N2 - We study the geometric structure of two subsets of the parameter space that are of interest in the context of adaptive LQ-control. The first set can be considered as the set of possible limit points of an adaptive control algorithm, whereas the second can be seen as the set of desirable limit points. Our main result is that these sets are $C^\omega$-manifolds.

AB - We study the geometric structure of two subsets of the parameter space that are of interest in the context of adaptive LQ-control. The first set can be considered as the set of possible limit points of an adaptive control algorithm, whereas the second can be seen as the set of desirable limit points. Our main result is that these sets are $C^\omega$-manifolds.

KW - IR-70384

KW - $C^\omega$-manifold

KW - Adaptive LQ control

KW - EWI-16584

KW - MSC-93C40

U2 - 10.1016/0167-6911(86)90097-6

DO - 10.1016/0167-6911(86)90097-6

M3 - Article

VL - 7

SP - 25

EP - 34

JO - Systems and control letters

JF - Systems and control letters

SN - 0167-6911

IS - 1

ER -